Abstract
Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.
Highlights
A rapid development of studies on two-electron atomic systems is witnessed, both in the ground state and in the electron doubly excited states, known as autoionization states [1,2,3,4,5,6,7]
Studies on the importance and the influence of electronic correlation phenomena in the ground state and in the doubly excited states of helium-like ions continue to generate considerable interest on the part of experimenters and theorists and it is in this framework that we propose a new wave function of two terms to compute the energies(ns2) 1Se, 1De, 1Ge,1Ie,1 Me and 1Ke excited states of helium-like ions up to Z = 10
For comparison with the other theoretical results, we use for energy conversion: 1a.u. = 27.211396 eV and 1Ryd = 13.605698 eV
Summary
A rapid development of studies on two-electron atomic systems is witnessed, both in the ground state and in the electron doubly excited states, known as autoionization states [1,2,3,4,5,6,7]. Which are based on two electrons systems test new theoretical and experimental methods that can stretch in more complex systems later The interest of these studies allows to better understand the phenomena of electronic correlation in the two-electron atomic systems and these studies can be used as an asset to demonstrate the importance and the influence of the phenomena of electronic correlations in the fundamental state and in the states of double electronic glow of He-like systems [3, 8,9,10,11,12].
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